What is the total number of positive factors for 2160?

2,160 (two thousand one hundred sixty) is an even four-digits composite number following 2159 and preceding 2161. In scientific notation, it is written as 2.16 × 103. The sum of its digits is 9. It has a total of 8 prime factors and 40 positive divisors.

How many divisors does 2160 have?

The total number of divisors of 2160 is 40. We have calculated that the total number of non-trivial divisors of 2160 is 38. ∴ Option C is the correct option.

How do you find the sum of positive divisors?

In general, if you have the prime factorization of the number n, then to calculate the sum of its divisors, you take each different prime factor and add together all its powers up to the one that appears in the prime factorization, and then multiply all these sums together!

How do you find the number of positive integer divisors?

If we want to find the positive divisors for an integer n, we just take the integers 1, 2, 3, . . . , n, divide n by each, and those that divide evenly make up the set of positive divisors for n.

How many factors are there of 2160 excluding 1 and 2160?

We have, 2160=24×33×5! ∴ Total number of factors = 39.

What is the prime factorization of 693?

So, the prime factorization of 693 can be written as 32 × 71 × 111 where 3, 7, 11 are prime.

What is the sum of divisors of 360?

The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. ∴ the sum of all odd proper divisors of 360 is 78.

What is the sum of the positive integer divisors of 23?

The number 23 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 23) is 24, the average is 12.

How many positive integer divisors does 144 have?

The number 144 can be divided by 15 positive divisors (out of which 12 are even, and 3 are odd). The sum of these divisors (counting 144) is 403, the average is 26.,866.

How many divisors are in 693?

The number 693 can be divided by 12 positive divisors (out of which 0 are even, and 12 are odd).

What is the greatest factor of 693?

The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693 and factors of 313 are 1, 313. Therefore, the Lowest Common Multiple (LCM) of 693 and 313 is 216909 and Highest Common Factor (HCF) of 693 and 313 is 1.